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受欢迎的代数 >

k^2-6k+1=0

解答

k^{2} - 6 k + 1 = 0

解答

k = 3 + 22, k = 3 - 22

+1

十进制

k = 5.82842 \dots, k = 0.17157 \dots

求解步骤

k^{2} - 6 k + 1 = 0

使用求根公式求解

k_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 1}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot 1 = 42

k_{1, 2} = \frac{- ( - 6 ) \pm 4 2}{2 \cdot 1}

将解分隔开

k_{1} = \frac{- ( - 6 ) + 4 2}{2 \cdot 1}, k_{2} = \frac{- ( - 6 ) - 4 2}{2 \cdot 1}

k = \frac{- ( - 6 ) + 4 2}{2 \cdot 1} : 3 + 22

k = \frac{- ( - 6 ) - 4 2}{2 \cdot 1} : 3 - 22

二次方程组的解是:

k = 3 + 22, k = 3 - 22

作图

流行的例子

solvefor x,x^2-3x+4=0

so l v e f or x, x^{2} - 3 x + 4 = 0

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x^{2} + 2 = x

\frac{1}{4} x^{2} - 12 = - 3